4431242004 has 96 divisors (see below), whose sum is σ = 11984797440. Its totient is φ = 1248141312.

The previous prime is 4431241987. The next prime is 4431242033. The reversal of 4431242004 is 4002421344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3415884 + ... + 3417180.

It is an arithmetic number, because the mean of its divisors is an integer number (124841640).

Almost surely, 2^4431242004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431242004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992398720).

4431242004 is an abundant number, since it is smaller than the sum of its proper divisors (7553555436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4431242004 is a wasteful number, since it uses less digits than its factorization.

4431242004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4431242004 is about 66567.5747192280. The cubic root of 4431242004 is about 1642.5117673008.

Adding to 4431242004 its reverse (4002421344), we get a palindrome (8433663348).

The spelling of 4431242004 in words is "four billion, four hundred thirty-one million, two hundred forty-two thousand, four".